Search a number
-
+
20436623406 = 23317101227971
BaseRepresentation
bin10011000010000111…
…100010000000101110
31221202021010000222000
4103002013202000232
5313323233422111
613215523433130
71322303301303
oct230207420056
957667100860
1020436623406
118737a39711
123b642257a6
131c08c9cb94
14dbc2a10aa
157e9265c56
hex4c21e202e

20436623406 has 128 divisors (see below), whose sum is σ = 48826437120. Its totient is φ = 6313536000.

The previous prime is 20436623387. The next prime is 20436623461. The reversal of 20436623406 is 60432663402.

20436623406 is a `hidden beast` number, since 20 + 4 + 3 + 6 + 623 + 4 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21046501 + ... + 21047471.

It is an arithmetic number, because the mean of its divisors is an integer number (381456540).

Almost surely, 220436623406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20436623406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24413218560).

20436623406 is an abundant number, since it is smaller than the sum of its proper divisors (28389813714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20436623406 is a wasteful number, since it uses less digits than its factorization.

20436623406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 20436623406 in words is "twenty billion, four hundred thirty-six million, six hundred twenty-three thousand, four hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 101 102 153 202 227 303 306 454 459 606 681 909 918 971 1362 1717 1818 1942 2043 2727 2913 3434 3859 4086 5151 5454 5826 6129 7718 8739 10302 11577 12258 15453 16507 17478 22927 23154 26217 30906 33014 34731 45854 46359 49521 52434 68781 69462 92718 98071 99042 104193 137562 148563 196142 206343 208386 220417 294213 297126 389759 412686 440834 445689 588426 619029 661251 779518 882639 891378 1169277 1238058 1322502 1667207 1765278 1983753 2338554 2647917 3334414 3507831 3747089 3967506 5001621 5295834 5951259 7015662 7494178 10003242 10523493 11241267 11902518 15004863 21046986 22262117 22482534 30009726 33723801 44524234 45014589 66786351 67447602 90029178 101171403 133572702 200359053 202342806 378455989 400718106 601077159 756911978 1135367967 1202154318 2270735934 3406103901 6812207802 10218311703 20436623406